Least Common Multiple of 15/23, 320/28, 762/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/23, 320/28, 762/743 quickly i.e. 121920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/23, 320/28, 762/743 is 121920.

LCM(15/23, 320/28, 762/743) = 121920

LCM of 15/23, 320/28, 762/743

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 15/23,320/28,762/743

Given numbers are 15/23,320/28,762/743

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 15,320,762

Least Common Multiple of Numerators i.e. LCM of 15,320,762 is 121920.

GCF of Denominators means GCF of 23,28,743 as per the given fractions.

GCF of 23,28,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,320,762

LCM of Fractions 15/23,320/28,762/743 is 121920

2 15, 320, 762
3 15, 160, 381
5 5, 160, 127
1, 32, 127

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 32 x 127 = 121920

Least Common Multiple of 15,320,762 with GCF Formula

Least Common Multiple of 15,320,762 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,320,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,320,762) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(15,320,762) x common factors =1 x 30 = 30

LCM(15,320,762) = ( 15 × 320 × 762 ) / 30

LCM(15,320,762) = 3657600 / 30

LCM(15,320,762) = 121920


Lets's calculate GCF of 23,28,743

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121920/1

Therefore the LCM of Fractions 15/23,320/28,762/743 is 121920

Greatest Common Factor of 23,28,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,28,743 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 23,28,743 . The biggest common factor number is the GCF number.
So the greatest common factor 23,28,743 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 15/23, 320/28, 762/743

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 15/23, 320/28, 762/743?

Answer: LCM of Numerators as per given numbers 15/23, 320/28, 762/743 is

LCM of Numerators i.e. for 15,320,762 is 121920

GCF of denominators i.e. for 23,28,743 is 1.

Thus, LCM of Fractions is 121920.Finally, LCM of Fractions for 15/23, 320/28, 762/743 is 121920.